2x4/1+4x6/1+6x8/1+…+2006x2008/1=?
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2x4/1+4x6/1+6x8/1+…+2006x2008/1=?
2x4/1+4x6/1+6x8/1+…+2006x2008/1=?
2x4/1+4x6/1+6x8/1+…+2006x2008/1=?
2x4/1+4x6/1+6x8/1+…+2006x2008/1
=(2/1-4/2+4/1-6/1+6/1-8/1+……+2006/1-2008/1)÷2
=(2/1-2008/1)÷2
=2008/1003÷2
=4016/1003
先说一下,你的分子分母写反了,水平书写分数的时候,分子在“/”左边,分母在“/”右边。
1/(2×4)+1/(4×6)+1/(6×8)+...+1/(2006×2008)
=(1/2)(1/2-1/4+1/4-1/6+1/6-1/8+...+1/2006-1/2008)
=(1/2)(1/2 -1/2008)
=1003/4016